These standards provide a basis for what students should know when entering fourth grade mathematics. The common core standards for 3rd grade contain five domains:
I. Operations and Algebraic Thinking
This domain contains four clusters as follows:
1. Represent and solve problems involving multiplication and division. This includes:
- Interpret products and quotients of whole numbers
- Solve word problems using multiplication and division up to 100 using drawings, equations, and equations with symbols for the unknown number
- Determine unknown whole numbers in multiplication and division probelms (ie. - 8 x ? = 48)
2. Properties of multiplication and relationships between multiplication and division. This includes:
- Commutative, associative, distributive properties
- Division as an unknown factor (32/8 is equal to 8 x ? = 32)
3. Multiply and divide within 100 (by end of grade know from memory all products of two one-digit numbers)
4. Solving problems using addition, subtraction, multiplication and division. This includes:
- two-step word problems
- equations using a single letter variable
- checking answers for reasonableness using mental computation and estimation
- Identify arithmetic patterns such as adding two odd numbers equals an even number
II. Number and Operations in Base Ten
This domain encompasses the following concepts:
- Understanding and applying place value for multi-digit arithmetic
- Rounding whole numbers to the nearest 10 or 100
- Add and subtract within 1,000 using an understanding of place value
- Multiply one-digit whole numbers by multiples of 10 (ie. - 9 x 80, 5 x 60) using place value strategies
III. Number and Operations - Fractions
This domain includes the following skills:
- Understand fractions as equal parts of a whole
- Understand fractions as part of the number line
- Recognize, understand, and generate equivalent fractions (1/2 = 2/4)
IV. Measurement and Data
This domain contains four clusters as follows:
1. Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses. This includes:
- Tell and write time to the nearest minute, measure time in minutes and solve time word problems
- Measure and estimate liquid volumes and masses of objects using grams, kilograms and liters. Solve one-step word problems involving masses or volumes using math operations and drawing representations.
2. Represent and interpret data. This includes:
- Draw a scaled picture graph and scaled bar graph to represent a data set with several categories. Solve how many more and how many less problems using graphs.
- Generate measurement data using rulers marked by halves and fourths of an inch. Make a line plot with a horizontal scale in whole, half and quarter inches to show the data.
3. Geometric measurement: understand concepts of area and relate area to multiplication and addition. This includes:
- Recognize area of plane figures and understand concepts of area measurement
- Measure areas by counting unit squares
- Relate area to the operations of multiplcation and addition (adding up tiles, multiplying side lengths, showing that the two ways equal the same area measurement)
4. Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measurements. This includes:
- Solving real world and math problems involving parimeters of various polygons including side lengths and total perimeter.
V. Geometry
This domain encompasses the ability to reason with shapes and their attributes. This includes categorizing shapes by attributes and dividing shapes into equal parts.
Example #1
For Domain IV: Measurement and Data - represent and interpet data. The following link is for a fun website that gives third grade students age-appropriate practice interpreting bar graph data. Students could also use this website to practice creating bar graph data. I would use this tool after the concept has been introduced and practiced in class.
For Domain III: Number and Operations - Fractions. This is a website that 3rd grade students could use to practice work with fractions. It has games for the students to play, and it also gives them different pieces to manipulate. The students can work with finding equivalent fractions and finding parts of a whole. This would be a great website for teachers to use after they have explained the concept of fractions.
I. Operations and Algebraic Thinking
This domain contains four clusters as follows:1. Represent and solve problems involving multiplication and division. This includes:
- Interpret products and quotients of whole numbers
- Solve word problems using multiplication and division up to 100 using drawings, equations, and equations with symbols for the unknown number
- Determine unknown whole numbers in multiplication and division probelms (ie. - 8 x ? = 48)
2. Properties of multiplication and relationships between multiplication and division. This includes:
- Commutative, associative, distributive properties
- Division as an unknown factor (32/8 is equal to 8 x ? = 32)
3. Multiply and divide within 100 (by end of grade know from memory all products of two one-digit numbers)
4. Solving problems using addition, subtraction, multiplication and division. This includes:
- two-step word problems
- equations using a single letter variable
- checking answers for reasonableness using mental computation and estimation
- Identify arithmetic patterns such as adding two odd numbers equals an even number
II. Number and Operations in Base Ten
This domain encompasses the following concepts:- Understanding and applying place value for multi-digit arithmetic
- Rounding whole numbers to the nearest 10 or 100
- Add and subtract within 1,000 using an understanding of place value
- Multiply one-digit whole numbers by multiples of 10 (ie. - 9 x 80, 5 x 60) using place value strategies
III. Number and Operations - Fractions
This domain includes the following skills:- Understand fractions as equal parts of a whole
- Understand fractions as part of the number line
- Recognize, understand, and generate equivalent fractions (1/2 = 2/4)
IV. Measurement and Data
This domain contains four clusters as follows:1. Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses. This includes:
- Tell and write time to the nearest minute, measure time in minutes and solve time word problems
- Measure and estimate liquid volumes and masses of objects using grams, kilograms and liters. Solve one-step word problems involving masses or volumes using math operations and drawing representations.
2. Represent and interpret data. This includes:
- Draw a scaled picture graph and scaled bar graph to represent a data set with several categories. Solve how many more and how many less problems using graphs.
- Generate measurement data using rulers marked by halves and fourths of an inch. Make a line plot with a horizontal scale in whole, half and quarter inches to show the data.
3. Geometric measurement: understand concepts of area and relate area to multiplication and addition. This includes:
- Recognize area of plane figures and understand concepts of area measurement
- Measure areas by counting unit squares
- Relate area to the operations of multiplcation and addition (adding up tiles, multiplying side lengths, showing that the two ways equal the same area measurement)
4. Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measurements. This includes:
- Solving real world and math problems involving parimeters of various polygons including side lengths and total perimeter.
V. Geometry
This domain encompasses the ability to reason with shapes and their attributes. This includes categorizing shapes by attributes and dividing shapes into equal parts.Example #1
For Domain IV: Measurement and Data - represent and interpet data. The following link is for a fun website that gives third grade students age-appropriate practice interpreting bar graph data. Students could also use this website to practice creating bar graph data. I would use this tool after the concept has been introduced and practiced in class.Bar Graph Practice for 3rd Graders
Example #2
For Domain III: Number and Operations - Fractions. This is a website that 3rd grade students could use to practice work with fractions. It has games for the students to play, and it also gives them different pieces to manipulate. The students can work with finding equivalent fractions and finding parts of a whole. This would be a great website for teachers to use after they have explained the concept of fractions.
Fraction Practice